In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without replacement. In simple terms, suppose there exists an unknown number of items which are sequentially numbered from 1 to N. A random sample of these items is taken and their sequence numbers observed; the problem is to estimate N from these observed numbers.
During World War II, production of German tanks such as the Panther was accurately estimated by Allied intelligence using statistical methods.
Panther tanks are loaded for transport to frontline units, 1943.
V-2 rocket production was accurately estimated by statistical methods.
The Panther tank, officially Panzerkampfwagen V Panther with ordnance inventory designation: Sd.Kfz. 171, is a German medium tank of World War II. It was used on the Eastern and Western Fronts from mid-1943 to the end of the war in May 1945.
Panther Ausf. D tanks, 1943. The D model can best be recognized by the drum-shaped cupola or the "Letterbox" hull machine gun slot.
Albert Speer examines a T-34 Model 1940 in June 1943
Panther tank production line
The crew of a Panther pose for photograph